L07S09_QM Orbitals 02-04-09 - CHEM 1A L7: "QM...

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Unformatted text preview: CHEM 1A L7: "QM Orbitals" 2004 M. Kubinec 1 2004 M.Kubinec L07-1 Review Review 2004 M.Kubinec L19-9 Wave Functions Wave Functions Energy: Energy: h 2 8 2 m- d 2 dx dx 2 (x) (x) = = E T (x) (x) E n = h 2 8m n 2 L 2 1 4 9 16 16 E n (x) (x) 2 (x) (x) = = E T (x) (x) n L x sin sin n L 2 h 2 8 2 m A n=1 n=1 n=2 n=2 n=3 n=3 n=4 n=4 A.Pines,M.Kubinec,UCB L8-7 Absorption and Emission Absorption and Emission Spectra Spectra E=h E=h 2004 M.Kubinec L07-2 A.Pines,M.Kubinec UCB L9-5 H-Atom, One Atom, One-Electron Electron Ions Ions l = 0 ( 0 ( s) y z x 2s 2s Radial Radial Node Node n = 1 n = 2 y z x 1s 1s + m l = 0 l l = 0 ( 0 ( s) m l = 0 +- A.Pines,M.Kubinec UCB L9-6 n = 2 = 2 l = 1 ( = 1 ( p) n = 3 = 3 l = 0, 1, 2 = 0, 1, 2 3s, 3p, 3d 3s, 3p, 3d Orbitals Orbitals 2p 2p y 2p 2p z 2p 2p x- y z x +- y z x +- y z x + Angular Angular Node Node m l = = -1, +1 1, +1 m l = 0 = 0 2004 M.Kubinec L07-3 Orbital Energies Orbital Energies n : Principal Q. N.n : Principal Q....
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This note was uploaded on 07/01/2009 for the course CHEM 232323 taught by Professor Nitsche during the Spring '09 term at University of California, Berkeley.

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L07S09_QM Orbitals 02-04-09 - CHEM 1A L7: "QM...

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